Finding the Third Proportional to 5,634 and 10,563

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634 : 10,563 = 10,563 : x
2. Step 2: Convert to fraction form
   5,634/10,563 = 10,563/x
3. Step 3: Cross multiply
   5,634x = 10,563 × 10,563
4. Step 4: Simplify right side
   5,634x = 111,576,969
5. Step 5: Solve for x
   x = 111,576,969/5,634
6. Step 6: Final answer
   x = 19,804.22